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Mid-Atlantic Topology Conference

Mid-Atlantic Topology Conference
大西洋中部拓扑会议
批准号:
1535958
负责人:
Gregory Arone
金额:
$0.8万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2015
资助国家:
美国
项目状态:
已结题
起止时间:
2015-04-01 至 2016-03-31

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项目成果

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中文摘要
翻译
第一次中大西洋拓扑会议将于2015年4月25日至26日在夏洛茨维尔的弗吉尼亚大学举行。从广义上讲,会议的主题是代数拓扑。将有八个全体讲座,介绍该领域领导人在这一领域的主要最新发展。我们的目标是提供一个激励的环境,鼓励参与者讨论他们的想法并促进新的合作。像这样的重点研究会议在数学研究的发展和传播中发挥着重要作用。这些会议是一个论坛,研究人员可以在这些会议上宣布新的研究结果,并在研究结果发表在期刊上之前向该领域的其他专家解释他们的想法。会议的主题是同伦理论,群论(特别是群的上同调),以及它们之间通过分类空间函子的相互作用。群的上同调在群论和代数拓扑中都是重要的。一方面,代数拓扑的方法对于群的上同调的计算是有用的。相反,代数拓扑学中的重要问题通常可以归结为关于群上同调的问题。这种现象有很多例子。一个重要的例子是摩拉瓦稳定群的上同调在同伦理论中所起的作用。另一个例子发生在研究有限群的分类空间的(p-完全)同伦类型与其p-Sylow子群上的融合系统的结构之间的联系。我们全体会议的发言人是这些主题的主要专家。具体而言,它们是:Mark Behrens(圣母大学)、Paul Goerss(西北大学)、Mike Hill(弗吉尼亚大学)、Nitu Kitchloo(约翰霍普金斯)、Bob奥利弗(巴黎13)、Geoffrey Powell(昂热)、道格拉斯拉文内尔(罗切斯特)和Kirsten Wickelgren(格鲁吉亚理工)。有关会议的更多信息,请访问http://pi.math.virginia.edu/topology/Conference2015/
英文摘要
The first Mid-Atlantic topology conference will take place on April 25-26, 2015, at the University of Virginia in Charlottesville. Broadly speaking, the theme of the conference is algebraic topology. There will be eight plenary lectures, giving presentations of major recent developments in this area by leaders in the field. Our goal is to provide a stimulating setting in which participants will be encouraged to discuss their ideas and foster new collaborations. Focused research conferences such as this one play a fundamental role in the development and dissemination of research in mathematics. Such conferences serve as a forum in which researchers can announce new results and explain their ideas to other experts in the field, long before results appear in refereed journals.The themes of the conference are homotopy theory, group theory (especially cohomology of groups), and interactions between them via the classifying space functor. Cohomology of groups is important both in group theory and algebraic topology. On one hand, methods of algebraic topology are useful for the calculation of cohomology of groups. Conversely, important questions in algebraic topology often can be reduced to questions about group cohomology. There are many instances of this phenomenon. One important example is the role played in homotopy theory by the cohomology of Morava stabilizer groups. Another example occurs in the study of the connection between the (p-completed) homotopy type of the classifying space of a finite group and the structure of the fusion system on its p-Sylow subgroup. Our plenary speakers are leading experts in these subjects. Specifically, they are: Mark Behrens (Notre Dame), Paul Goerss (Northwestern), Mike Hill (University of Virginia), Nitu Kitchloo (Johns Hopkins), Bob Oliver (Paris 13), Geoffrey Powell (Angers), Douglas Ravenel (Rochester) and Kirsten Wickelgren (Georgia Tech).More information about the conference can be found at http://pi.math.virginia.edu/topology/Conference2015/
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会议论文
Calculus of Functors, Operads, and Manifolds
  • 批准号:
    0605073
  • 项目类别:
    Standard Grant
  • 资助金额:
    $11.13万
  • 财政年份:
    2006
  • 负责人:
    Gregory Arone
  • 依托单位:
Calculus of Functors and Applications
  • 批准号:
    0307069
  • 项目类别:
    Standard Grant
  • 资助金额:
    $7.99万
  • 财政年份:
    2003
  • 负责人:
    Gregory Arone
  • 依托单位:
Calculus of Functors and Homotopy Theory
  • 批准号:
    0196350
  • 项目类别:
    Standard Grant
  • 资助金额:
    $6.98万
  • 财政年份:
    2000
  • 负责人:
    Gregory Arone
  • 依托单位:
Calculus of Functors and Homotopy Theory
  • 批准号:
    9971855
  • 项目类别:
    Standard Grant
  • 资助金额:
    $6.98万
  • 财政年份:
    1999
  • 负责人:
    Gregory Arone
  • 依托单位:
海外基金